Find the nature of the roots of the following quadratic equations:

Question

Philoid · Accepted Answer

Nature of the quadratic equation can be found out using the following formula

b² – 4ac > 0 for real roots

When we compare the above quadratic equation with the generalized one we get,

ax² + bx + c = 0

a = 3

b = -2

c = 1/3

⟹ (-2)² – (4 × 3 × 1/3)

⟹ 4 – 4

⟹ 0

The answer is zero which implies that the quadratic equation has real and equal roots.